if a and b are the zeros of the polynomial 4x^2 + 3x + 7 , then value of 1/a + 1/b is ?! options : a) -½ b) -5/2 c) -3/2 d) 3/7
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d) 3/7
= 4x² + 3x + 7
= 4x² + (7x - 4x) + 7
= 4x² + 7x - 4x + 7
= x(4x + 7) - 1(4x + 7)
= (4x + 7) (x - 1)
4x + 7 = 0
x = -7/4
x - 1 = 0
x = 1
1/alpha + 1/beta
= (1 × -4/7) + 1
= -4/7 + 1
= (-4 + 7)/7
= 3/7
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